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1240105056 = 25312917761
BaseRepresentation
bin100100111101010…
…1000000001100000
310012102110212022220
41021322220001200
510014431330211
6323015431040
742505501431
oct11172500140
93172425286
101240105056
11587009313
122a7385480
13169bc6a98
14ba9ad488
1573d0d806
hex49ea8060

1240105056 has 24 divisors (see below), whose sum is σ = 3255276024. Its totient is φ = 413368320.

The previous prime is 1240105049. The next prime is 1240105057. The reversal of 1240105056 is 6505010421.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240105057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6458785 + ... + 6458976.

It is an arithmetic number, because the mean of its divisors is an integer number (135636501).

Almost surely, 21240105056 is an apocalyptic number.

1240105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1240105056 is an abundant number, since it is smaller than the sum of its proper divisors (2015170968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1240105056 is a wasteful number, since it uses less digits than its factorization.

1240105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12917774 (or 12917766 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1240105056 is about 35215.1253866858. The cubic root of 1240105056 is about 1074.3674103352.

Adding to 1240105056 its reverse (6505010421), we get a palindrome (7745115477).

The spelling of 1240105056 in words is "one billion, two hundred forty million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12917761 25835522 38753283 51671044 77506566 103342088 155013132 206684176 310026264 413368352 620052528 1240105056